Why Does Parallel Radiation to Magnetic Fields Exhibit Circular Polarisation?

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SUMMARY

The discussion centers on the emission of electromagnetic radiation by a charged particle of charge 'q' and energy 'E' under acceleration 'a' in the presence of a magnetic field. It is established that radiation emitted parallel to the magnetic field exhibits circular polarization due to the perpendicular relationship between the external magnetic field (B) and the radiation's B component. The explanation emphasizes the necessity of understanding the rotation of electric (E) and magnetic (B) fields to fully grasp the phenomenon of circular polarization.

PREREQUISITES
  • Understanding of electromagnetic radiation principles
  • Familiarity with charged particle dynamics in magnetic fields
  • Knowledge of circular polarization in electromagnetic waves
  • Basic vector calculus, particularly cross products
NEXT STEPS
  • Study the Lorentz force and its effects on charged particles in magnetic fields
  • Learn about the mathematical representation of circular polarization in electromagnetic waves
  • Explore the concept of transverse waves and their properties
  • Investigate the role of acceleration in radiation emission from charged particles
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Students and researchers in physics, particularly those focusing on electromagnetism, particle dynamics, and wave polarization phenomena.

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Homework Statement



A particle of charge 'q' and energy 'E' which experiences an acceleration 'a', emits electromagnetic radiation.

Show that the radiation from this particle which is emitted parallel to the magnetic field is expected to exhibit circular polarisation.



The Attempt at a Solution



I started by saying the cross product of external B with B component of the radiation are perpendicular (i.e. 90°) and because of this the radiation will be circular polarised.

But this answer seems to be very simple..
 
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Circular polarization means the E and B fields are rotating. You never mentioned in your explanation anything about rotation. Also you really need to explain the problem better or show a picture.

Right now I am assuming this is a charged particle traveling in a circle due to a magnetic field in the z-direction. Also knowing the direction of the acceleration vector, you can find the directions of E and B, and show they are circularly polarized and transverse to the z-axis in the far-field. This is assuming I have the right picture.
 
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